q-STURM-LIOUVILLE PROBLEMS WITH EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS

TUNA H.

Mathematical Reports, vol.24-74, no.3, pp.377-391, 2022 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 24-74 Say: 3
  • Nəşr tarixi: 2022
  • jurnalın adı: Mathematical Reports
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Səhifə sayı: pp.377-391
  • Açar sözlər: eigenvalue and eigenfunctions, q-Sturm-Liouville operator, spectral parameter in boundary condition
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this article, we study dissipative q-Sturm-Liouville problems with eigenvalue parameter contained in the boundary conditions. It is shown that the analysis of q-Sturm-Liouville problems on a finite closed interval carries over to regular problems involving the eigenvalue parameter in the boundary conditions at one end-point. For the considered problem, we obtain asymptotic formulae for eigenvalues and eigenfunctions.